Edit Profile (opens in new tab) Sheng, Wancheng Co-Author Distance Author ID: sheng.wancheng Published as: Sheng, Wancheng; Sheng, Wan-cheng; Sheng, Wan-Cheng more...less Documents Indexed: 105 Publications since 1994, including 1 Book 1 Contribution as Editor Co-Authors: 61 Co-Authors with 103 Joint Publications 2,575 Co-Co-Authors all top 5 Co-Authors 2 single-authored 13 Lai, Geng 13 Zhang, Qinglong 7 Zhang, Tong 6 Zheng, Yuxi 5 Yin, Gan 4 Chen, Jianjun 4 Hu, Yanbo 4 Pan, Lijun 4 Sun, Meina 4 Yao, Aidi 3 Guo, Lihui 3 Li, Jiequan 3 Liu, Yujin 3 Sun, Wenhua 3 Xiao, Tao 2 Chen, Honghua 2 Ge, Ju 2 Li, Tatsien 2 Wang, Guodong 2 Wang, Guojuan 2 You, Shouke 2 Zhang, Hua 2 Zhang, Ting 1 Cai, Yuxin 1 Cong, Cui 1 Dang, Liancheng 1 Dou, Yanping 1 Gong, Zhangrong 1 Guo, Cuihua 1 Hu, Dian 1 Huang, Jian 1 Huang, Yiru 1 Li, Shuangrong 1 Lin, Guicheng 1 Lin, Jiaqing 1 Liu, Fengling 1 Liu, Sijie 1 Liu, Zhaoyang 1 Luo, Qingli 1 Shan, Yi 1 Shen, Chun 1 Sheng, Qirong 1 Shu, Chi-Wang 1 Tan, Dechun 1 Wang, Bin 1 Wang, Yuandi 1 Wei, Xuemei 1 Xiao, Wei 1 Xu, Shufang 1 Yan, Ping 1 Yang, Jiansheng 1 Yang, Liu 1 Zeng, Ying 1 Zhang, Hongzhi 1 Zhang, Kemin 1 Zhang, Liying 1 Zhang, Ping 1 Zhang, Xiaoping 1 Zhao, Xiangqing 1 Zhu, Lie 1 Zhu, Peicheng all top 5 Serials 10 Communication on Applied Mathematics and Computation 9 Journal of Shanghai University 6 Chinese Annals of Mathematics. Series A 5 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Analysis 4 Journal of Mathematical Analysis and Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Mechanics. (English Edition) 4 Chinese Annals of Mathematics. Series B 4 Applied Mathematics Letters 4 SIAM Journal on Applied Mathematics 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Mathematical Physics 3 Journal of Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Journal of Hyperbolic Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Shanghai University. Natural Science 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Communications in Mathematical Sciences 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Discrete Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 Memoirs of the American Mathematical Society 1 Studies in Applied Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Xinjiang University. Natural Science 1 SIAM Journal on Mathematical Analysis 1 Journal of Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Communications in Mathematical Analysis 1 Communications in Computational Physics 1 Communications on Applied Mathematics and Computation all top 5 Fields 95 Partial differential equations (35-XX) 73 Fluid mechanics (76-XX) 18 Classical thermodynamics, heat transfer (80-XX) 4 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 800 times in 411 Documents Cited by ▼ Year ▼ The Riemann problem for the transportation equations in gas dynamics. Zbl 0913.35082 Sheng, Wancheng; Zhang, Tong 169 1999 The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system. Zbl 1197.35164 Guo, Lihui; Sheng, Wancheng; Zhang, Tong 86 2010 Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases. Zbl 1167.35047 Yin, Gan; Sheng, Wancheng 51 2009 Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations. Zbl 1259.35144 Hu, Yanbo; Li, Jiequan; Sheng, Wancheng 40 2012 Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. Zbl 1222.35121 Lai, Geng; Sheng, Wancheng; Zheng, Yuxi 38 2011 Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes. Zbl 1308.35193 Sheng, Wancheng; Wang, Guojuan; Yin, Gan 37 2015 Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics. Zbl 1326.35201 Lai, Geng; Sheng, Wancheng 27 2015 Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics. Zbl 1322.76077 Yin, Gan; Sheng, Wancheng 27 2015 Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. Zbl 1212.35302 Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi 23 2009 Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow. Zbl 1394.35339 Sheng, Wancheng; You, Shouke 20 2018 Elementary wave interactions to the compressible Euler equations for Chaplygin gas in two dimensions. Zbl 1357.35218 Lai, Geng; Sheng, Wancheng 19 2016 Two-dimensional Riemann problem for scalar conservation laws. Zbl 1024.35073 Sheng, Wancheng 19 2002 Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations. Zbl 1180.35359 Yin, Gan; Sheng, Wancheng 18 2008 The ignition problem for a scalar nonconvex combustion model. Zbl 1113.35120 Sun, Meina; Sheng, Wancheng 16 2006 Characteristic decomposition of the \(2\times 2\) quasilinear strictly hyperbolic systems. Zbl 1246.35126 Hu, Yanbo; Sheng, Wancheng 12 2012 The Riemann problem of conservation laws in magnetogasdynamics. Zbl 1267.35127 Hu, Yanbo; Sheng, Wancheng 12 2013 The Riemann problem of adiabatic Chaplygin gas dynamic system. Zbl 1228.76136 Zhu, Li; Sheng, Wancheng 11 2010 Critical transonic shock and supersonic bubble in oblique rarefaction wave reflection along a compressive corner. Zbl 1211.35195 Sheng, Wancheng; Wang, Guodong; Zhang, Tong 11 2010 Structural stability of solutions to the Riemann problem for ascalar nonconvex CJ combustion model. Zbl 1180.35353 Sheng, Wancheng; Zhang, Tong 10 2009 The asymptotic limits of solutions to the Riemann problem for the scaled leroux system. Zbl 1387.35410 Shen, Chun; Sheng, Wancheng; Sun, Meina 9 2018 The generalized Riemann problem for a scalar nonconvex Chapman-Jouguet combustion model. Zbl 1148.35045 Sheng, Wancheng; Sun, Meina; Zhang, Tong 9 2007 Interaction of the elementary waves of isentropic flow in a variable cross-section duct. Zbl 1410.35137 Sheng, Wancheng; Zhang, Qinglong 7 2019 The Riemann problem for a blood flow model in arteries. Zbl 1476.35139 Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi 7 2020 Viscosity solutions to a model for solid-solid phase transitions driven by material forces. Zbl 1462.74127 Sheng, Wancheng; Zhu, Peicheng 6 2018 The generalized Riemann problem for a scalar Chapman-Jouguet combustion model. Zbl 1239.76066 Sun, Meina; Sheng, Wancheng 6 2009 The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas. Zbl 1377.35197 Chen, Jianjun; Sheng, Wancheng 6 2018 Interaction of elementary waves of scalar conservation laws with discontinuous flux function. Zbl 1131.35363 Wang, Guodong; Sheng, Wancheng 6 2006 The two-dimensional unsteady supersonic flow around a convex corner. Zbl 1418.35253 Sheng, Wancheng; You, Shouke 5 2018 Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables. Zbl 1326.35194 Hu, Yanbo; Sheng, Wancheng 5 2015 Two-dimensional centered wave flow patches to the Guderley Mach reflection configurations for steady flows in gas dynamics. Zbl 1339.35225 Lai, Geng; Sheng, Wancheng 5 2016 Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws. Zbl 1157.35065 Yao, Aidi; Sheng, Wancheng 5 2008 Simple waves of the two dimensional compressible Euler equations in magnetohydrodynamics. Zbl 1379.35222 Chen, Jianjun; Sheng, Wancheng 4 2018 The general Riemann problem for the linearized system of two-dimensional isentropic flow in gas dynamics. Zbl 1106.76437 Li, Tatsian; Sheng, Wancheng 4 2002 The two dimensional gas expansion problem of the Euler equations for the generalized Chaplygin gas. Zbl 1304.35518 Ge, Ju; Sheng, Wancheng 4 2014 Two-dimensional pseudosteady flows around a sharp corner. Zbl 1472.35278 Lai, Geng; Sheng, Wancheng 4 2021 Weak deflagration solutions to the simplest combustion model. Zbl 0793.35059 Sheng, Wancheng; Tan, Dechun 3 1994 Generalized Riemann problem for gas dynamic combustion. Zbl 1237.35110 Liu, Yu-jin; Sheng, Wan-cheng 3 2011 The scalar Zeldovich-von Neumann-Döring combustion model. I: Interactions of shock and detonation. Zbl 1154.35403 Pan, Lijun; Sheng, Wancheng 3 2009 Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner. Zbl 1416.35160 Sheng, Wancheng; Yao, Aidi 3 2019 On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics. Zbl 1455.35182 Chen, Jianjun; Lai, Geng; Sheng, Wancheng 3 2020 The generalized Riemann problem for a scalar nonconvex combustion model – the perturbation on initial binding energy. Zbl 1274.35231 Pan, Lijun; Sheng, Wancheng 3 2012 The non-selfsimilar Riemann problem for 2-D zero-pressure flow in gas dynamics. Zbl 1145.35431 Sun, Wenhua; Sheng, Wancheng 3 2007 A direct Eulerian GRP scheme for a blood flow model in arteries. Zbl 1486.92004 Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi 3 2021 Axisymmetric solutions of the Euler system for the Chaplygin gas. Zbl 1240.35354 Guo, Lihui; Sheng, Wancheng 2 2011 The scalar Zeldovich-von Neumann-Döring combustion model. II: Interactions of shock and deflagration. Zbl 1154.35399 Pan, Lijun; Sheng, Wancheng 2 2009 Transonic shock and supersonic shock in the regular reflection of a planar shock. Zbl 1169.76029 Sheng, Wancheng; Yin, Gan 2 2009 The Riemann problem for a traffic flow model on a road with variable widths. Zbl 1505.90037 Sheng, Wancheng; Zhang, Qinglong 2 2022 Interaction of elementary waves for the Aw-Rascle traffic flow model with variable Lane width. Zbl 1475.35205 Zhang, Qinglong; Sheng, Wancheng 2 2021 The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow. Zbl 1338.35289 Ge, Ju; Sheng, Wancheng 2 2016 Well-posedness of the fourth-order perturbed Schrödinger type equation in non-isotropic Sobolev spaces. Zbl 1225.35225 Zhao, Xiangqing; Guo, Cuihua; Sheng, Wancheng; Wei, Xuemei 2 2011 Nonexistence of the von Neumann reflection configuration for the triple point paradox. Zbl 1242.35189 Lai, Geng; Sheng, Wancheng 2 2011 A unique solution to a semilinear Black-Scholes partial differential equation for valuing multi-assets of American options. Zbl 1174.91434 Luo, Qingli; Sheng, Wancheng 2 2007 Simple waves for two-dimensional compressible pseudo-steady Euler system. Zbl 1204.35130 Lai, Geng; Sheng, Wan-cheng 2 2010 A cartoon for the climbing ramp problem of a shock and von Neumann paradox. Zbl 1109.76034 Sheng, Wancheng; Zhang, Tong 2 2007 Global solutions of the perturbed Riemann problem for the chromatography equations. Zbl 1499.35408 Zhang, Ting; Sheng, Wancheng 2 2019 Asymptotic stability of viscous shock profiles for one-dimensional compressible viscous gas. Zbl 1009.35066 Dou, Yanping; Sheng, Wancheng 1 2002 The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients. Zbl 1005.35061 Li, Tatsian; Sheng, Wancheng 1 2002 Elementary waves of conservation laws in magnetogasdynamics in a variable cross-section duct. Zbl 1438.35274 Sheng, Wancheng; Xiao, Tao; Zhang, Qinglong 1 2018 The interaction of shock waves of pressure difference equations in gas dynamics. Zbl 1076.35076 Yang, Liu; Sheng, Wancheng 1 2005 The initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves. Zbl 1174.35444 Yao, Aidi; Sheng, Wancheng 1 2008 Generalized \(\delta\)-entropy condition to Riemann solution for Chaplygin gas in traffic flow. Zbl 1308.90043 Sheng, Wancheng; Zeng, Ying 1 2015 Interaction of the elementary waves for shallow water equations with discontinuous topography. Zbl 1479.35560 Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi 1 2021 Supersonic reacting jet flows from a three-dimensional divergent conical nozzle. Zbl 1528.35127 Lai, Geng; Sheng, Wancheng 1 2023 A random choice method based on the generalized Riemann problem for the Euler equations in gas dynamics. Zbl 07513818 Zhang, Qinglong; Sheng, Wancheng 1 2021 Riemann problem of a Chapman-Jouguet combustion model for pressure-gradient system. Zbl 1240.35351 Cong, Cui; Lai, Geng; Sheng, Wancheng 1 2010 Axisymmetric solutions of the Chaplygin gas for initial negative radial velocity. Zbl 1240.35353 Guo, Lihui; Sheng, Wancheng 1 2010 A one-dimensional piston problem of pressure-gradient equations. Zbl 1212.35313 Zhang, Liying; Sheng, Wancheng 1 2009 Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics. Zbl 1231.35251 Sun, Wen-Hua; Sheng, Wan-Cheng 1 2007 The Riemann problem for nonlinear degenerate wave equations. Zbl 1207.35223 Sun, Wen-hua; Sheng, Wan-cheng 1 2010 Supersonic reacting jet flows from a three-dimensional divergent conical nozzle. Zbl 1528.35127 Lai, Geng; Sheng, Wancheng 1 2023 The Riemann problem for a traffic flow model on a road with variable widths. Zbl 1505.90037 Sheng, Wancheng; Zhang, Qinglong 2 2022 Two-dimensional pseudosteady flows around a sharp corner. Zbl 1472.35278 Lai, Geng; Sheng, Wancheng 4 2021 A direct Eulerian GRP scheme for a blood flow model in arteries. Zbl 1486.92004 Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi 3 2021 Interaction of elementary waves for the Aw-Rascle traffic flow model with variable Lane width. Zbl 1475.35205 Zhang, Qinglong; Sheng, Wancheng 2 2021 Interaction of the elementary waves for shallow water equations with discontinuous topography. Zbl 1479.35560 Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi 1 2021 A random choice method based on the generalized Riemann problem for the Euler equations in gas dynamics. Zbl 07513818 Zhang, Qinglong; Sheng, Wancheng 1 2021 The Riemann problem for a blood flow model in arteries. Zbl 1476.35139 Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi 7 2020 On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics. Zbl 1455.35182 Chen, Jianjun; Lai, Geng; Sheng, Wancheng 3 2020 Interaction of the elementary waves of isentropic flow in a variable cross-section duct. Zbl 1410.35137 Sheng, Wancheng; Zhang, Qinglong 7 2019 Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner. Zbl 1416.35160 Sheng, Wancheng; Yao, Aidi 3 2019 Global solutions of the perturbed Riemann problem for the chromatography equations. Zbl 1499.35408 Zhang, Ting; Sheng, Wancheng 2 2019 Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow. Zbl 1394.35339 Sheng, Wancheng; You, Shouke 20 2018 The asymptotic limits of solutions to the Riemann problem for the scaled leroux system. Zbl 1387.35410 Shen, Chun; Sheng, Wancheng; Sun, Meina 9 2018 Viscosity solutions to a model for solid-solid phase transitions driven by material forces. Zbl 1462.74127 Sheng, Wancheng; Zhu, Peicheng 6 2018 The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas. Zbl 1377.35197 Chen, Jianjun; Sheng, Wancheng 6 2018 The two-dimensional unsteady supersonic flow around a convex corner. Zbl 1418.35253 Sheng, Wancheng; You, Shouke 5 2018 Simple waves of the two dimensional compressible Euler equations in magnetohydrodynamics. Zbl 1379.35222 Chen, Jianjun; Sheng, Wancheng 4 2018 Elementary waves of conservation laws in magnetogasdynamics in a variable cross-section duct. Zbl 1438.35274 Sheng, Wancheng; Xiao, Tao; Zhang, Qinglong 1 2018 Elementary wave interactions to the compressible Euler equations for Chaplygin gas in two dimensions. Zbl 1357.35218 Lai, Geng; Sheng, Wancheng 19 2016 Two-dimensional centered wave flow patches to the Guderley Mach reflection configurations for steady flows in gas dynamics. Zbl 1339.35225 Lai, Geng; Sheng, Wancheng 5 2016 The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow. Zbl 1338.35289 Ge, Ju; Sheng, Wancheng 2 2016 Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes. Zbl 1308.35193 Sheng, Wancheng; Wang, Guojuan; Yin, Gan 37 2015 Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics. Zbl 1326.35201 Lai, Geng; Sheng, Wancheng 27 2015 Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics. Zbl 1322.76077 Yin, Gan; Sheng, Wancheng 27 2015 Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables. Zbl 1326.35194 Hu, Yanbo; Sheng, Wancheng 5 2015 Generalized \(\delta\)-entropy condition to Riemann solution for Chaplygin gas in traffic flow. Zbl 1308.90043 Sheng, Wancheng; Zeng, Ying 1 2015 The two dimensional gas expansion problem of the Euler equations for the generalized Chaplygin gas. Zbl 1304.35518 Ge, Ju; Sheng, Wancheng 4 2014 The Riemann problem of conservation laws in magnetogasdynamics. Zbl 1267.35127 Hu, Yanbo; Sheng, Wancheng 12 2013 Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations. Zbl 1259.35144 Hu, Yanbo; Li, Jiequan; Sheng, Wancheng 40 2012 Characteristic decomposition of the \(2\times 2\) quasilinear strictly hyperbolic systems. Zbl 1246.35126 Hu, Yanbo; Sheng, Wancheng 12 2012 The generalized Riemann problem for a scalar nonconvex combustion model – the perturbation on initial binding energy. Zbl 1274.35231 Pan, Lijun; Sheng, Wancheng 3 2012 Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. Zbl 1222.35121 Lai, Geng; Sheng, Wancheng; Zheng, Yuxi 38 2011 Generalized Riemann problem for gas dynamic combustion. Zbl 1237.35110 Liu, Yu-jin; Sheng, Wan-cheng 3 2011 Axisymmetric solutions of the Euler system for the Chaplygin gas. Zbl 1240.35354 Guo, Lihui; Sheng, Wancheng 2 2011 Well-posedness of the fourth-order perturbed Schrödinger type equation in non-isotropic Sobolev spaces. Zbl 1225.35225 Zhao, Xiangqing; Guo, Cuihua; Sheng, Wancheng; Wei, Xuemei 2 2011 Nonexistence of the von Neumann reflection configuration for the triple point paradox. Zbl 1242.35189 Lai, Geng; Sheng, Wancheng 2 2011 The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system. Zbl 1197.35164 Guo, Lihui; Sheng, Wancheng; Zhang, Tong 86 2010 The Riemann problem of adiabatic Chaplygin gas dynamic system. Zbl 1228.76136 Zhu, Li; Sheng, Wancheng 11 2010 Critical transonic shock and supersonic bubble in oblique rarefaction wave reflection along a compressive corner. Zbl 1211.35195 Sheng, Wancheng; Wang, Guodong; Zhang, Tong 11 2010 Simple waves for two-dimensional compressible pseudo-steady Euler system. Zbl 1204.35130 Lai, Geng; Sheng, Wan-cheng 2 2010 Riemann problem of a Chapman-Jouguet combustion model for pressure-gradient system. Zbl 1240.35351 Cong, Cui; Lai, Geng; Sheng, Wancheng 1 2010 Axisymmetric solutions of the Chaplygin gas for initial negative radial velocity. Zbl 1240.35353 Guo, Lihui; Sheng, Wancheng 1 2010 The Riemann problem for nonlinear degenerate wave equations. Zbl 1207.35223 Sun, Wen-hua; Sheng, Wan-cheng 1 2010 Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases. Zbl 1167.35047 Yin, Gan; Sheng, Wancheng 51 2009 Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. Zbl 1212.35302 Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi 23 2009 Structural stability of solutions to the Riemann problem for ascalar nonconvex CJ combustion model. Zbl 1180.35353 Sheng, Wancheng; Zhang, Tong 10 2009 The generalized Riemann problem for a scalar Chapman-Jouguet combustion model. Zbl 1239.76066 Sun, Meina; Sheng, Wancheng 6 2009 The scalar Zeldovich-von Neumann-Döring combustion model. I: Interactions of shock and detonation. Zbl 1154.35403 Pan, Lijun; Sheng, Wancheng 3 2009 The scalar Zeldovich-von Neumann-Döring combustion model. II: Interactions of shock and deflagration. Zbl 1154.35399 Pan, Lijun; Sheng, Wancheng 2 2009 Transonic shock and supersonic shock in the regular reflection of a planar shock. Zbl 1169.76029 Sheng, Wancheng; Yin, Gan 2 2009 A one-dimensional piston problem of pressure-gradient equations. Zbl 1212.35313 Zhang, Liying; Sheng, Wancheng 1 2009 Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations. Zbl 1180.35359 Yin, Gan; Sheng, Wancheng 18 2008 Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws. Zbl 1157.35065 Yao, Aidi; Sheng, Wancheng 5 2008 The initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves. Zbl 1174.35444 Yao, Aidi; Sheng, Wancheng 1 2008 The generalized Riemann problem for a scalar nonconvex Chapman-Jouguet combustion model. Zbl 1148.35045 Sheng, Wancheng; Sun, Meina; Zhang, Tong 9 2007 The non-selfsimilar Riemann problem for 2-D zero-pressure flow in gas dynamics. Zbl 1145.35431 Sun, Wenhua; Sheng, Wancheng 3 2007 A unique solution to a semilinear Black-Scholes partial differential equation for valuing multi-assets of American options. Zbl 1174.91434 Luo, Qingli; Sheng, Wancheng 2 2007 A cartoon for the climbing ramp problem of a shock and von Neumann paradox. Zbl 1109.76034 Sheng, Wancheng; Zhang, Tong 2 2007 Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics. Zbl 1231.35251 Sun, Wen-Hua; Sheng, Wan-Cheng 1 2007 The ignition problem for a scalar nonconvex combustion model. Zbl 1113.35120 Sun, Meina; Sheng, Wancheng 16 2006 Interaction of elementary waves of scalar conservation laws with discontinuous flux function. Zbl 1131.35363 Wang, Guodong; Sheng, Wancheng 6 2006 The interaction of shock waves of pressure difference equations in gas dynamics. Zbl 1076.35076 Yang, Liu; Sheng, Wancheng 1 2005 Two-dimensional Riemann problem for scalar conservation laws. Zbl 1024.35073 Sheng, Wancheng 19 2002 The general Riemann problem for the linearized system of two-dimensional isentropic flow in gas dynamics. Zbl 1106.76437 Li, Tatsian; Sheng, Wancheng 4 2002 Asymptotic stability of viscous shock profiles for one-dimensional compressible viscous gas. Zbl 1009.35066 Dou, Yanping; Sheng, Wancheng 1 2002 The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients. Zbl 1005.35061 Li, Tatsian; Sheng, Wancheng 1 2002 The Riemann problem for the transportation equations in gas dynamics. Zbl 0913.35082 Sheng, Wancheng; Zhang, Tong 169 1999 Weak deflagration solutions to the simplest combustion model. Zbl 0793.35059 Sheng, Wancheng; Tan, Dechun 3 1994 all cited Publications top 5 cited Publications all top 5 Cited by 274 Authors 48 Sheng, Wancheng 34 Shen, Chun 34 Yang, Hanchun 33 Sun, Meina 25 Hu, Yanbo 23 Lai, Geng 20 Guo, Lihui 19 Cheng, Hongjun 17 Zhang, Yu 16 Pang, Yicheng 16 Yin, Gan 13 Qu, Aifang 13 Sekhar, T. Raja 13 Shao, Zhiqiang 12 Li, Tong 12 Zhang, Yanyan 11 Wang, Zhen 10 Liu, Yujin 10 Wang, Jinhuan 9 Wang, Guodong 9 Zhang, Qinglong 8 Chen, Jianjun 8 Li, Shiwei 8 Pan, Lijun 8 Sun, Wenhua 8 Yuan, Hairong 7 Chen, Tingting 7 Jiang, Weifeng 6 Barthwal, Rahul 6 Cao, Gaowei 6 Yang, Xiaozhou 6 You, Shouke 6 Zhang, Qingling 5 Han, Xinli 5 Hu, Min 5 Liu, Jinjing 5 Wei, Zhijian 4 Chen, Gui-Qiang G. 4 Ge, Jianjun 4 Geng, Yongcai 4 Sen, Anupam 4 Sheng, Shouqiong 4 Wang, Li 4 Wang, Zejun 3 Chen, Fangqi 3 Cheng, Jie 3 Cheung, Ka-Luen 3 de la Cruz, Richard 3 Fan, Yongqiang 3 He, Fen 3 Huang, Meixiang 3 Krivovichev, Gerasim Vladimirovich 3 Li, Jiequan 3 Li, Shuangrong 3 Li, Yachun 3 Lin, Xiuli 3 Liu, Jianli 3 Liu, Shuzhi 3 Minhajul 3 Sekhar, G. P. Raja 3 Wang, Qin 3 Yao, Aidi 3 Zafar, M. Asim 3 Zhang, Yunfeng 3 Zhao, Qin 3 Zheng, Yuxi 2 Bertozzi, Andrea Louise 2 Bian, Xingzhi 2 Chen, Shuxing 2 Cheng, Fang 2 Fan, Shuai 2 Garg, Naveen Kumar 2 Ge, Ju 2 Gowda, G. D. Veerappa 2 Hantke, Maren 2 Hu, Kai 2 Hu, Ye 2 Juajibioy, Juan Carlos 2 Kim, Eun Heui 2 Li, Fengyan 2 Li, Huahui 2 Li, Weili 2 Liu, Hailiang 2 Liu, Jiajia 2 Luan, Liping 2 Lv, Ping 2 Müller, Lucas Omar 2 Paiva, Adelino 2 Qiu, Gui-qin 2 Sarrico, Carlos Orlando R. 2 Sharma, Vishnu Dutt 2 Short, Martin B. 2 Song, Kyungwoo 2 Song, Yating 2 Sowrirajan, Rangarajan 2 Tong, Meizi 2 Toro, Eleuterio Francisco 2 Wang, Li 2 Wang, Pengyan 2 Warnecke, Gerald G. ...and 174 more Authors all top 5 Cited in 92 Serials 35 Journal of Mathematical Analysis and Applications 31 Journal of Mathematical Physics 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Journal of Differential Equations 16 Acta Applicandae Mathematicae 15 Applied Mathematics Letters 15 Nonlinear Analysis. Real World Applications 13 Communications on Pure and Applied Analysis 12 Chinese Annals of Mathematics. Series B 11 Mathematical Methods in the Applied Sciences 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 Acta Mathematicae Applicatae Sinica. English Series 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 10 Advances in Mathematical Physics 8 Applicable Analysis 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Journal of Hyperbolic Differential Equations 7 Communications on Applied Mathematics and Computation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Boundary Value Problems 5 Indian Journal of Pure & Applied Mathematics 5 SIAM Journal on Mathematical Analysis 4 Applied Mathematics and Computation 4 Studies in Applied Mathematics 4 Abstract and Applied Analysis 4 Journal of Shanghai University 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Science China. Mathematics 3 Archive for Rational Mechanics and Analysis 3 Quarterly of Applied Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 Advances in Difference Equations 3 Journal of Applied Analysis and Computation 3 Open Mathematics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Rocky Mountain Journal of Mathematics 2 Meccanica 2 Monatshefte für Mathematik 2 Physica D 2 Asymptotic Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Russian Journal of Mathematical Physics 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Mathematics and Mechanics of Solids 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 Journal of Nonlinear Mathematical Physics 2 Communications in Computational Physics 2 Mathematical Modelling of Natural Phenomena 2 Differential Equations and Applications 2 Analysis and Mathematical Physics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Nonlinear Analysis 1 Research in the Mathematical Sciences all top 5 Cited in 23 Fields 382 Partial differential equations (35-XX) 256 Fluid mechanics (76-XX) 20 Numerical analysis (65-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Relativity and gravitational theory (83-XX) 13 Operations research, mathematical programming (90-XX) 10 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 6 Optics, electromagnetic theory (78-XX) 5 Functional analysis (46-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year